Question

Given f(x) = x, after performing the following transformations: shift upward 98 units and shift 35 units

to the right, the new function g(x) =

Answer 1

After shifting the function f(x) = x upward by 98 units and to the right by 35 units, the new function is g(x) = x + 63.

Step-by-step explanation:

The question is about transformations of the function f(x) = x.

Specifically, they want to know the new function g(x) after the graph of f(x) is shifted up by 98 units and to the right by 35 units.

To apply these transformations, we would add 98 to f(x) to shift the graph up, and we would replace x with (x - 35) to shift the graph 35 units to the right.

Therefore, the new function g(x) would be:

g(x) = (x - 35) + 98

Which simplifies to:

g(x) = x + 63